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Closed form solutions for the dynamic response of Euler-Bernoulli beams with step changes in cross section

Publication ,  Journal Article
Koplow, MA; Bhattacharyya, A; Mann, BP
Published in: Journal of Sound and Vibration
August 8, 2006

This paper provides an analytical solution for the dynamic response of a discontinuous beam with one step change and an aligned neutral axis. The case of free-free boundary conditions is considered to obtain direct frequency response functions due to harmonic force or couple excitation at either end location. This behavior is confirmed through a series of experimental tests and via comparison to receptance coupling methods. © 2006 Elsevier Ltd. All rights reserved.

Duke Scholars

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

August 8, 2006

Volume

295

Issue

1-2

Start / End Page

214 / 225

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Koplow, M. A., Bhattacharyya, A., & Mann, B. P. (2006). Closed form solutions for the dynamic response of Euler-Bernoulli beams with step changes in cross section. Journal of Sound and Vibration, 295(1–2), 214–225. https://doi.org/10.1016/j.jsv.2006.01.008
Koplow, M. A., A. Bhattacharyya, and B. P. Mann. “Closed form solutions for the dynamic response of Euler-Bernoulli beams with step changes in cross section.” Journal of Sound and Vibration 295, no. 1–2 (August 8, 2006): 214–25. https://doi.org/10.1016/j.jsv.2006.01.008.
Koplow MA, Bhattacharyya A, Mann BP. Closed form solutions for the dynamic response of Euler-Bernoulli beams with step changes in cross section. Journal of Sound and Vibration. 2006 Aug 8;295(1–2):214–25.
Koplow, M. A., et al. “Closed form solutions for the dynamic response of Euler-Bernoulli beams with step changes in cross section.” Journal of Sound and Vibration, vol. 295, no. 1–2, Aug. 2006, pp. 214–25. Scopus, doi:10.1016/j.jsv.2006.01.008.
Koplow MA, Bhattacharyya A, Mann BP. Closed form solutions for the dynamic response of Euler-Bernoulli beams with step changes in cross section. Journal of Sound and Vibration. 2006 Aug 8;295(1–2):214–225.
Journal cover image

Published In

Journal of Sound and Vibration

DOI

EISSN

1095-8568

ISSN

0022-460X

Publication Date

August 8, 2006

Volume

295

Issue

1-2

Start / End Page

214 / 225

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences